Cohomology of operad algebras and Deligne's conjecture |
Posted on:2014-04-28 | Degree:Ph.D | Type:Dissertation |
University:Purdue University | Candidate:Ward, Benjamin C | Full Text:PDF |
GTID:1450390005999122 | Subject:Mathematics |
Abstract/Summary: | |
We consider various classes of generalized operads and associated odd Lie algebras and study the algebraic structure present after choice of solution to the Maurer-Cartan equation. In particular we construct and study operads which act universally on such pairs. As a consequence we study universal operations on operadic cohomology theories and give generalizations of Deligne's conjecture in both the cyclic and non-cyclic cases. |
Keywords/Search Tags: | Cohomology, Algebras, Deligne's |
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